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Finding the Fourth Proportional to 35,798.28, 49,404.29 and 22,189

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Solution

The fourth proportional to 35,798.28, 49,404.29 and 22,189 is: 30,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,798.28 : 49,404.29 = 22,189 : x
  2. Step 2: Convert to fraction form
    35,798.28/49,404.29 = 22,189/x
  3. Step 3: Cross multiply
    35,798.28x = 49,404.29 × 22,189
  4. Step 4: Simplify right side
    35,798.28x = 1,096,231,790.81
  5. Step 5: Solve for x
    x = 1,096,231,790.81/35,798.28
  6. Step 6: Final answer
    x = 30,622.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.